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Search: id:A133897
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| A133897 |
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Numbers m such that binomial(m+7,m) mod 7 = 0. |
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+0
1
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| 42, 43, 44, 45, 46, 47, 48, 91, 92, 93, 94, 95, 96, 97, 140, 141, 142, 143, 144, 145, 146, 189, 190, 191, 192, 193, 194, 195, 238, 239, 240, 241, 242, 243, 244, 287, 288, 289, 290, 291, 292, 293, 336, 337, 338, 339, 340, 341, 342, 385, 386, 387, 388, 389, 390
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OFFSET
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0,1
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COMMENT
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Also numbers m such that floor(1+(m/7)) mod 7 = 0.
Partial sums of the sequence 42,1,1,1,1,1,1,43,1,1,1,1,1,1,43,... which has period 7.
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FORMULA
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a(n)=7n+42-6*(n mod 7).
G.f.: g(x)=(42+x+x^2+x^3+x^4+x^5+x^6+x^7)/((1-x^7)(1-x)).
G.f.: g(x)=(42-41x-x^8) /((1-x^7)(1-x)^2).
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CROSSREFS
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Cf. A000040, A133620, A133621, A133623, A133630, A133635.
Cf. A133877, A133887, A133890, A133900, A133910.
Sequence in context: A070723 A165863 A008941 this_sequence A086848 A058904 A095493
Adjacent sequences: A133894 A133895 A133896 this_sequence A133898 A133899 A133900
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KEYWORD
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nonn
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AUTHOR
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Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Oct 20 2007
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